Finite Group Databasebeta

← Group #27039

Character table — Group #27039

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888222444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-111
χ51111111111111111-1-1-1-111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-1-1-111-1-1-1-111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ9111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1111-1-111-1-111-1-1-11
χ10111111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-111-1-1111-1
χ11111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1111-1-11111-1-11-1
χ12111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111111-1-1-1-111-11
χ13111111111-1-1-1-1111-1-111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1
χ14111111111-1-1-1-1111-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-11111-1-1-11
χ15111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-111-11
χ16111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1-11-1
χ1722222222-22222-2-2-22222-2-2000000000000-20000-2000000000000
χ1822222222-22222-2-2-2-2-2-2-2-2-2000000000000200002000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-22200000000000020000-2000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222000000000000-200002000000000000
χ21222-22-2-2-2-200002-220000002i2i−2i−2i000022-2-200000000002i−2i000000
χ22222-22-2-2-2-200002-220000002i2i−2i−2i0000-2-2220000000000−2i2i000000
χ23222-22-2-2-2-200002-22000000−2i−2i2i2i000022-2-20000000000−2i2i000000
χ24222-22-2-2-2-200002-22000000−2i−2i2i2i0000-2-22200000000002i−2i000000
χ2522-2-2-222-202i2i−2i−2i0002-22i−2i00000022−2−2i2−i2i2−i20000000000002−2i2−i200
χ2622-2-2-222-202i2i−2i−2i0002-22i−2i000000−2−222−i2i2−i2i2000000000000−22−i2i200
χ2722-2-2-222-202i2i−2i−2i000-22−2i2i00000022−2−2i2−i2i2−i2000000000000−22−i2i200
χ2822-2-2-222-202i2i−2i−2i000-22−2i2i000000−2−222−i2i2−i2i20000000000002−2i2−i200
χ2922-2-2-222-20−2i−2i2i2i0002-2−2i2i00000022−2−2−i2i2−i2i20000000000002−2−i2i200
χ3022-2-2-222-20−2i−2i2i2i0002-2−2i2i000000−2−222i2−i2i2−i2000000000000−22i2−i200
χ3122-2-2-222-20−2i−2i2i2i000-222i−2i00000022−2−2−i2i2−i2i2000000000000−22i2−i200
χ3222-2-2-222-20−2i−2i2i2i000-222i−2i000000−2−222i2−i2i2−i20000000000002−2−i2i200
χ332-222-2-22-222i−2i2i−2i-2-2200002i−2i0000000000000002-202i−2i0000000000
χ342-222-2-22-222i−2i2i−2i-2-2200002i−2i000000000000000-220−2i2i0000000000
χ352-222-2-22-22−2i2i−2i2i-2-220000−2i2i0000000000000002-20−2i2i0000000000
χ362-222-2-22-22−2i2i−2i2i-2-220000−2i2i000000000000000-2202i−2i0000000000
χ372-222-2-22-2-22i−2i2i−2i22-20000−2i2i2i−2i2i−2i0000000002-2000000000000000
χ382-222-2-22-2-22i−2i2i−2i22-20000−2i2i−2i2i−2i2i000000000-22000000000000000
χ392-222-2-22-2-2−2i2i−2i2i22-200002i−2i2i−2i2i−2i000000000-22000000000000000
χ402-222-2-22-2-2−2i2i−2i2i22-200002i−2i−2i2i−2i2i0000000002-2000000000000000
χ412-22-2-22-22200002-2-20000002-2-222i−2i2i−2i0000000000002i−2i00000000
χ422-22-2-22-22200002-2-20000002-2-22−2i2i−2i2i000000000000−2i2i00000000
χ432-22-2-22-22200002-2-2000000-222-22i−2i2i−2i000000000000−2i2i00000000
χ442-22-2-22-22200002-2-2000000-222-2−2i2i−2i2i0000000000002i−2i00000000
χ45444-44-4-4-440000-44-4000000000000000000000000000000000000
χ4644-44-4-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ4744-44-4-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ484-44-4-44-44-40000-444000000000000000000000000000000000000
χ494-4-4444-4-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ504-4-4444-4-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ514-4-4-44-44404-4-44000000000000000000000000000000000000000
χ524-4-4-44-4440-444-4000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).